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HMMT 二月 2008 · GEN2 赛 · 第 5 题

HMMT February 2008 — GEN2 Round — Problem 5

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 4 ] Kermit the frog enjoys hopping around the infinite square grid in his backyard. It takes him 1 Jouleof energy to hop one step north or one step south, and 1 Joule of energy to hop one step east or onestep west. He wakes up one morning on the grid with 100 Joules of energy, and hops till he falls asleepwith 0 energy. How many different places could he have gone to sleep? 2
解析

英文解析

  1. [ 4 ] Kermit the frog enjoys hopping around the infinite square grid in his backyard. It takes him 1 Jouleof energy to hop one step north or one step south, and 1 Joule of energy to hop one step east or onestep west. He wakes up one morning on the grid with 100 Joules of energy, and hops till he falls asleepwith 0 energy. How many different places could he have gone to sleep?
    Answer: 10201 Same as Combinatorics Test problem 4. 2